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  1. Survey of Pragmatic Semiotic Information • 9

    This is a Survey of blog and wiki posts on a theory of information which grows out of pragmatic semiotic ideas.  All my projects are exploratory in character but this line of inquiry is more open‑ended than most.  The question is —

    What is information and how does it impact the spectrum of activities answering to the name of inquiry?

    Setting out on what would become his lifelong quest to explore and explain the “Logic of Science”, C.S. Peirce pierced the veil of historical confusions obscuring the issue and fixed on what he called the “laws of information” as the key to solving the puzzle.

    The first hints of the Information Revolution in our understanding of scientific inquiry may be traced to Peirce’s lectures of 1865–1866 at Harvard University and the Lowell Institute.  There Peirce took up “the puzzle of the validity of scientific inference” and claimed it was “entirely removed by a consideration of the laws of information”.

    Fast forward to the present and I see the Big Question as follows.  Having gone through the exercise of comparing and contrasting Peirce’s theory of information, however much it yet remains in a rough‑hewn state, with Shannon’s paradigm so pervasively informing the ongoing revolution in our understanding and use of information, I have reason to believe Peirce’s idea is root and branch more general and has the potential, with due development, to resolve many mysteries still bedeviling our grasp of inference, information, and inquiry.

    Inference, Information, Inquiry

    Pragmatic Semiotic Information

    Semiotics, Semiosis, Sign Relations

    Sign Relations, Triadic Relations, Relation Theory

    • Blog Series • (1)

    Excursions

    Blog Dialogs

    References

    • Peirce, C.S. (1867), “Upon Logical Comprehension and Extension”.  Online.
    • Awbrey, J.L., and Awbrey, S.M. (1995), “Interpretation as Action : The Risk of Inquiry”, Inquiry : Critical Thinking Across the Disciplines 15(1), 40–52.  Archive.  Journal.  Online (doc) (pdf).

    cc: FB | Semeiotics • Laws of Form • Mathstodon • Ontolog • Academia.edu
    cc: Conceptual Graphs • Cybernetics • Structural Modeling • Systems Science

    #Abduction #CSPeirce #Communication #Control #Cybernetics #Deduction #Determination #Discovery #Doubt #Epistemology #FixationOfBelief #Induction #Information #InformationComprehensionExtension #InformationTheory #Inquiry #InquiryDrivenSystems #InquiryIntoInquiry #Interpretation #Invention #Knowledge #LearningTheory #Logic #LogicOfRelatives #LogicOfScience #Mathematics #PhilosophyOfScience #PragmaticInformation #ProbableReasoning #ProcessThinking #RelationTheory #ScientificInquiry #ScientificMethod #Semeiosis #Semiosis #SemioticInformation #Semiotics #SignRelationalManifolds #SignRelations #Surveys #TriadicRelations #Uncertainty #Visualization
  2. #SignRelationalManifolds • Discussion 2
    inquiryintoinquiry.com/2022/11

    Alex Shkotin asks, “Hypothesis. Any material something can be a sign. Is it possible to give an example of something material that cannot be a sign?” I reply —

    Sign relations are mathematical relations able to model discourse or thought. If a relation relates 1 thing, material or not, to a 2nd thing so that both refer to a 3rd thing and the whole relation works to model discourse or thought — then it qualifies as a sign relation.

  3. #SignRelationalManifolds • Discussion 1

    • inquiryintoinquiry.com/2022/11

    Torkild Thellefsen asks on #Facebook, “What's at the End of a Chain of Interpretants?”

    It is a #RecurringQuestion — I answered as I often do.

    #SemioticManifolds, like physical & mathematical manifolds, may be finite & bounded or infinite & unbounded but they may also be finite & unbounded, having no boundary in the topological sense. Thus #UnboundedSemiosis does not imply #InfiniteSemiosis.

    #Peirce #Semiotics #Manifolds

  4. #SignRelationalManifolds • 5

    • inquiryintoinquiry.com/2022/11

    Let me try to say in intuitive terms what I think is really going on here.

    The problem is as old as those about #OtherMinds, #Intersubjectivity, or #Commensurability and it involves a whole slew of other old problems — #RealityVsAppearance or #RealityVsRepresentation, not to mention #TheOneAndTheMany. One way to sum up the question might be “conditions on the possibility of a #MutuallyObjectiveWorld ”.

    #Peirce #Semiotics #Manifolds

  5. #SignRelationalManifolds • 3
    • inquiryintoinquiry.com/2022/11

    I'm not sure when it was I first noticed the relationship between #manifolds and #semiotics but I distinctly recall the passage in Serge Lang's Differential and Riemannian Manifolds (1995) which brought the triadic character of tangent vectors into high relief.

    Excerpts from Lang's DARM

    Chapter 2. Manifolds
    2.1. #Atlases, #Charts, #Morphisms
    • web.archive.org/web/2015030202
    2.2. #Submanifolds, #Immersions, #Submersions
    • web.archive.org/web/2014122017

  6. @yog

    Funny I thought I replied already, must have got lost in the 0zone.

    At any rate, I'm just now in the middle of reworking some old work of mine somewhat along the lines you mention.

    #SignRelationalManifolds
    • inquiryintoinquiry.com/tag/sig

    I keep getting some kind of server error ...

  7. #Peirce #Kant #Riemann
    #SignRelationalManifolds
    inquiryintoinquiry.com/2022/11

    Applications of #Manifolds are illustrated by the following excerpts from Doolin & Martin's Introduction to #DifferentialGeometry for Engineers.

    web.archive.org/web/2011061200

    Manifolds came up in connection with #Ontology and #Semiotics due to the issues of #Perspectivity, #OntologicalRelativity, and #Interoperability among multiple ontologies. As I see it, those are the very sorts of problems manifolds were invented to handle.

  8. #SignRelationalManifolds
    #SignRelations #Semiotics
    #DifferentialManifolds
    #DifferentialGeometry
    #DifferentialLogic

    • inquiryintoinquiry.com/2022/10

    Riemann’s concept of a manifold, especially as later developed, bears a close relationship to Peirce’s concept of a sign relation.

    Here is a set of excerpts from Murray G. Murphey (1961), The Development of Peirce’s Philosophy, discussing Peirce’s reception of Riemann’s philosophy of geometry.

    Manifolds of Signs
    • web.archive.org/web/2015030202

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